Solving the Poisson Equation with Dirichlet data by shallow ReLU${}^{\hat{I}}\pm$-networks: A regularity and approximation perspective

Malhar Vaishampayan, Stephan Wojtowytsch

For several classes of neural PDE solvers (Deep Ritz, PINNs, DeepONets), the ability to approximate the solution or solution operator to a partial differential equation (PDE) hinge…